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Presentation transcript:

5.5 Bases Other than e and Applications (Part 1) Greg Kelly, Hanford High School, Richland, WashingtonPhoto by Vickie Kelly, 2008 Acadia National Park, Maine

Objectives Define exponential functions that have bases other than e. Differentiate and integrate exponential functions that have bases other than e.

Review derivatives and integrals of exponential functions.

Exponential Function to Base a

Properties:

Definition of Logarithmic Function to Base a

Properties:

Properties of Inverse Functions:

Solve for x. OR

Solve for x. OR

Solve for x. OR

Derivatives for Bases Other than e

Find the derivative.

 Homework 5.5 (page 368) #1, 3, 19 – 23 odd, 31, 33, odd